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Finding the Third Proportional to 207,091.69 and 443,702.81

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Solution

The third proportional to 207,091.69 and 443,702.81 is: 950,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,091.69 : 443,702.81 = 443,702.81 : x
  2. Step 2: Convert to fraction form
    207,091.69/443,702.81 = 443,702.81/x
  3. Step 3: Cross multiply
    207,091.69x = 443,702.81 × 443,702.81
  4. Step 4: Simplify right side
    207,091.69x = 196,872,185,820.41
  5. Step 5: Solve for x
    x = 196,872,185,820.41/207,091.69
  6. Step 6: Final answer
    x = 950,652.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.